Problem

A differential equation may possess more than one family of solutions. (a) Plot dif...

A differential equation may possess more than one family of solutions.

(a) Plot different members of the families

(b) Verify that and are two solutions of the nonlinear first-order differential equation

(c) Construct a piecewise-defined function that is a solution of the nonlinear DE in part (b) but is not a member of either family of solutions in part (a).

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